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Simplifying 3 + 5(x + 5) = 2 + -3(x + 1) Reorder the terms: 3 + 5(5 + x) = 2 + -3(x + 1) 3 + (5 * 5 + x * 5) = 2 + -3(x + 1) 3 + (25 + 5x) = 2 + -3(x + 1) Combine like terms: 3 + 25 = 28 28 + 5x = 2 + -3(x + 1) Reorder the terms: 28 + 5x = 2 + -3(1 + x) 28 + 5x = 2 + (1 * -3 + x * -3) 28 + 5x = 2 + (-3 + -3x) Combine like terms: 2 + -3 = -1 28 + 5x = -1 + -3x Solving 28 + 5x = -1 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 28 + 5x + 3x = -1 + -3x + 3x Combine like terms: 5x + 3x = 8x 28 + 8x = -1 + -3x + 3x Combine like terms: -3x + 3x = 0 28 + 8x = -1 + 0 28 + 8x = -1 Add '-28' to each side of the equation. 28 + -28 + 8x = -1 + -28 Combine like terms: 28 + -28 = 0 0 + 8x = -1 + -28 8x = -1 + -28 Combine like terms: -1 + -28 = -29 8x = -29 Divide each side by '8'. x = -3.625 Simplifying x = -3.625
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